-10-2x=-8
A. x=1
B. x=4
C. x=-1
D. x=9
11 answers
To solve the equation \(-10 - 2x = -8\), follow these steps:
Add 10 to both sides: \[ -10 - 2x + 10 = -8 + 10 \] This simplifies to: \[ -2x = 2 \]
Now, divide both sides by -2: \[ x = \frac{2}{-2} = -1 \]
So, the solution for \(x\) is: \[ x = -1 \]
The correct answer is C. x = -1.
To solve the equation \(5 = 2x - 11\), follow these steps:
Add 11 to both sides: \[ 5 + 11 = 2x - 11 + 11 \] This simplifies to: \[ 16 = 2x \]
Now, divide both sides by 2: \[ x = \frac{16}{2} = 8 \]
So, the solution for \(x\) is: \[ x = 8 \]
The correct answer is B.) x = 8.
To solve the equation \(\frac{11}{4}x + 9 = 31\), follow these steps:
Subtract 9 from both sides: \[ \frac{11}{4}x + 9 - 9 = 31 - 9 \] This simplifies to: \[ \frac{11}{4}x = 22 \]
Now, multiply both sides by \(\frac{4}{11}\) to isolate \(x\): \[ x = 22 \cdot \frac{4}{11} \]
Simplifying the right side: \[ x = \frac{22 \cdot 4}{11} = \frac{88}{11} = 8 \]
So, the solution for \(x\) is: \[ x = 8 \]
To solve the equation \(\frac{3}{7}x - 4 = -1\), follow these steps:
Add 4 to both sides: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \]
Multiply both sides by \(\frac{7}{3}\) to isolate \(x\): \[ x = 3 \cdot \frac{7}{3} \]
Simplifying the right side: \[ x = 7 \]
So, the solution for \(x\) is: \[ x = 7 \]
To solve the equation \(3 - \frac{6}{5}x = -3\), follow these steps:
Subtract 3 from both sides: \[ 3 - \frac{6}{5}x - 3 = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]
Multiply both sides by \(-1\) to get rid of the negative sign: \[ \frac{6}{5}x = 6 \]
Now, multiply both sides by the reciprocal of \(\frac{6}{5}\) which is \(\frac{5}{6}\): \[ x = 6 \cdot \frac{5}{6} \]
Simplifying the right side: \[ x = 5 \]
So, the solution for \(x\) is: \[ x = 5 \]
You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy learning!
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